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Simplifying 2(10 + 3t) = 4(t + -4) (10 * 2 + 3t * 2) = 4(t + -4) (20 + 6t) = 4(t + -4) Reorder the terms: 20 + 6t = 4(-4 + t) 20 + 6t = (-4 * 4 + t * 4) 20 + 6t = (-16 + 4t) Solving 20 + 6t = -16 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 20 + 6t + -4t = -16 + 4t + -4t Combine like terms: 6t + -4t = 2t 20 + 2t = -16 + 4t + -4t Combine like terms: 4t + -4t = 0 20 + 2t = -16 + 0 20 + 2t = -16 Add '-20' to each side of the equation. 20 + -20 + 2t = -16 + -20 Combine like terms: 20 + -20 = 0 0 + 2t = -16 + -20 2t = -16 + -20 Combine like terms: -16 + -20 = -36 2t = -36 Divide each side by '2'. t = -18 Simplifying t = -18
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